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Finding the Fourth Proportional to 643,247.40, 964,064.70 and 327,829.80

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Solution

The fourth proportional to 643,247.40, 964,064.70 and 327,829.80 is: 491,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,247.40 : 964,064.70 = 327,829.80 : x
  2. Step 2: Convert to fraction form
    643,247.40/964,064.70 = 327,829.80/x
  3. Step 3: Cross multiply
    643,247.40x = 964,064.70 × 327,829.80
  4. Step 4: Simplify right side
    643,247.40x = 316,049,137,788.06
  5. Step 5: Solve for x
    x = 316,049,137,788.06/643,247.40
  6. Step 6: Final answer
    x = 491,333.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.